Affine conormal of convex hypersurfaces
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- by Chi-Ming Yau PDF
- Proc. Amer. Math. Soc. 106 (1989), 465-470 Request permission
Abstract:
The geometry of convex hypersurfaces in real affine space is analyzed using the affine conormal. A weak version of Chern’s conjecture, characterizing paraboloids among convex graphs, is proved. In addition, it is shown that a closed convex affine hypersurface with constant affine total curvature is an ellipsoid.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 465-470
- MSC: Primary 53A15; Secondary 53C40
- DOI: https://doi.org/10.1090/S0002-9939-1989-0965947-1
- MathSciNet review: 965947